Question

Breaking a looping integral $\int\frac1x\ln(\frac1{x^2+1})dx$

score 120 · Answer 1 · 2026-04-16 03:37:39

120

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Breaking a looping integral $\int\frac1x\ln(\frac1{x^2+1})dx$

Published on 16 Apr 2026 - 3:37

score 47 · Answer 2 · 2026-04-14 03:04:21

47

Views

Number of possible functions

Published on 14 Apr 2026 - 3:04

score 544 · Answer 3 · 2026-04-12 20:23:31

544

Views

Compute upper and lower integral of a pieces function

Published on 12 Apr 2026 - 20:23

score 310 · Answer 4 · 2026-05-10 12:54:16

310

Views

Definite Integral: $\int_{0}^{2\pi}\frac{d \theta }{\sqrt{1-k^{2}\cos( \theta )}}$

Published on 10 May 2026 - 12:54

score 42 · Answer 5 · 2026-04-10 23:31:28

42

Views

The limit of an integral using integrating by part

Published on 10 Apr 2026 - 23:31

score 132 · Answer 6 · 2026-05-10 17:55:23

132

Views

Numerically computing Gaussian integral

Published on 10 May 2026 - 17:55

score 160 · Answer 7 · 2026-05-10 23:39:29

160

Views

How to prove that $\lim_{x \to \infty}\int_{x}^{x+1}\frac{{t^2}+1}{{t^2}+{20t}+8}dt=1$?

Published on 10 May 2026 - 23:39

score 170 · Answer 8 · 2026-04-12 17:53:43

170

Views

What does a greater than sign mean when it is a subscript of an integral sign?

Published on 12 Apr 2026 - 17:53

score 52 · Answer 9 · 2026-04-12 15:50:14

52

Views

Do systems resonate at specific frequencies due to orthogonality of sinusoids?

Published on 12 Apr 2026 - 15:50

score 71 · Answer 10 · 2026-04-17 12:08:03

71

Views

Computing $\int_{-1}^{1}\left(2|x|+x \arctan(2x^2) \cos(x^2) \right)dx $

Published on 17 Apr 2026 - 12:08

score 28 · Answer 11 · 2026-04-14 21:42:21

28

Views

Integrating and showing equal to some quantity

Published on 14 Apr 2026 - 21:42

score 229 · Answer 12 · 2026-05-10 14:07:26

229

Views

An illustration of convex integration theory: uniform approximation by a function with restricted values of the derivative

Published on 10 May 2026 - 14:07

score 250 · Answer 13 · 2026-04-16 14:15:47

250

Views

Example $f$ Riemann-integrable, $g$ bounded and $g=f$ almost everywhere.

Published on 16 Apr 2026 - 14:15

score 107 · Answer 14 · 2026-04-16 00:29:51

107

Views

Approximating the log of a simple but sensitive integral

Published on 16 Apr 2026 - 0:29

score 134 · Answer 15 · 2026-05-14 12:48:38

134

Views

Compute $\int_{0}^{\pi/2}\csc^2(x)\ln\left(\frac{a+b\sin^2 x}{a-b\sin^2 x}\right)dx$

Published on 14 May 2026 - 12:48

List Question

Breaking a looping integral $\int\frac1x\ln(\frac1{x^2+1})dx$

Number of possible functions

Compute upper and lower integral of a pieces function

Definite Integral: $\int_{0}^{2\pi}\frac{d \theta }{\sqrt{1-k^{2}\cos( \theta )}}$

The limit of an integral using integrating by part

Numerically computing Gaussian integral

How to prove that $\lim_{x \to \infty}\int_{x}^{x+1}\frac{{t^2}+1}{{t^2}+{20t}+8}dt=1$?

What does a greater than sign mean when it is a subscript of an integral sign?

Do systems resonate at specific frequencies due to orthogonality of sinusoids?

Computing $\int_{-1}^{1}\left(2|x|+x \arctan(2x^2) \cos(x^2) \right)dx $

Integrating and showing equal to some quantity

An illustration of convex integration theory: uniform approximation by a function with restricted values of the derivative

Example $f$ Riemann-integrable, $g$ bounded and $g=f$ almost everywhere.

Approximating the log of a simple but sensitive integral

Compute $\int_{0}^{\pi/2}\csc^2(x)\ln\left(\frac{a+b\sin^2 x}{a-b\sin^2 x}\right)dx$

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